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Finding the Fourth Proportional to 8,336.12, 11,501.80 and 5,686.20

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Solution

The fourth proportional to 8,336.12, 11,501.80 and 5,686.20 is: 7,845.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,336.12 : 11,501.80 = 5,686.20 : x
  2. Step 2: Convert to fraction form
    8,336.12/11,501.80 = 5,686.20/x
  3. Step 3: Cross multiply
    8,336.12x = 11,501.80 × 5,686.20
  4. Step 4: Simplify right side
    8,336.12x = 65,401,520.94
  5. Step 5: Solve for x
    x = 65,401,520.94/8,336.12
  6. Step 6: Final answer
    x = 7,845.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.